Plus Minus

Given an array, calculate the ratios of positive, negative, and zero elements. Print each on a new line with 6 decimal places.

Input

Line 1: n. Line 2: n space-separated integers.

Output

Three lines: ratio of positive, negative, zero (6 decimals each).

Sample

6
-4 3 -9 0 4 1

Expected

0.500000
0.333333
0.166667